Assume that when adults with smartphones are randomly selected,54%use them in meetings or classes. If5adult smartphone users are randomly selected, find the probability that exactly3of them use their smartphones in meetings or classes.

P(Smartphones)=0.54n=5P(x=k)=&nbsp;nCkPk(1-P)n-k;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;k=0,&nbsp;1,&nbsp;2,...nP(x=3)=&nbsp;5C3(0.54)3(0.46)2=10(0.54)3(0.46)2=10×0.1575×0.2116=0.3333

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High School
Statistics and Probability
High school statistics

Answered question

2022-04-30

Assume that when adults with smartphones are randomly selected,

54%

use them in meetings or classes. If

adult smartphone users are randomly selected, find the probability that exactly

of them use their smartphones in meetings or classes.

Answer & Explanation

star233

Skilled2022-05-14Added 403 answers

$P (Smartphones) = 0.54$

$n = 5$

$P (x = k) =^{n} C_{k} P^{k} {(1 - P)}^{n - k}; k = 0, 1, 2, . . . n$

$P (x = 3) =^{5} C_{3} {(0.54)}^{3} {(0.46)}^{2}$

$= 10 {(0.54)}^{3} {(0.46)}^{2}$

= $10 \times 0.1575 \times 0.2116$

$= 0.3333$

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